A search for inclusive non-D(bar B) decays of the (Psi)(double-prime)(3770) is performed in a sample of 9.56 (+-) 0.48 pb(sup -1) collected by the Mark III detector at the SPEAR storage ring, at the Stanford Linear Accelerator Center. To be more specific, a search for inclusive (bar p), (bar (Lambda)), and (phi) decay modes of the (Psi)(double-prime)(3770) is performed in this data sample. Backgrounds due to the decays of the radiatively produced (Psi)(prime)(3686) are subtracted. Also backgrounds due to the production of the same final state by nonresonant e(sup +)e(sup -) annihilation are subtracted. After further background subtractions from D meson decays and particle misidentification and efficiency corrections no events are seen and upper limits are placed for each one of these decay channels.